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Electrochemical impedance analysis of SILAR deposited Cu2SnS3
(CTS) thin film
H. D. Shelke
Research scholar, Thin Film Physics Laboratory, Department of Physics, Shivaji University,
Kolhapur-416 004 (M.S.), India.
A. M. Patil
Research scholar, Thin Film Physics Laboratory, Department of Physics, Shivaji University, Kolhapur-416 004 (M.S.), India.
A. C. Lokhande
Research scholar, Optoelectronic Convergence Research Centre, Department of Materials Science and
Engineering, Chonnam National University, Gwangju 500-757, South Korea
J. H. Kim
Professor, Optoelectronic Convergence Research Centre, Department of Materials Science and Engineering,
Chonnam National University, Gwangju 500-757, South Korea
C. D. Lokhande*
Professor, Centre for Interdisciplinary Research, D. Y. Patil University, Kolhapur-416 006 (M.S.), India.
Abstract
SILAR deposited copper tin sulfide (Cu2SnS3) thin
films were used to analyze the study of
electrochemical impedance, capacitance- voltage
characteristics and current- voltage characteristics. The photoconversion efficiency of SILAR deposited
CTS thin film-based photoelectrochemical cell
elucidate with the help of capacitance-Voltage (C-V)
Characteristics study by Mott- Schottky plot and
corresponding circuit model of the impedance spectra
of the photoelectrochemical cell.
Keywords:
Electrochemical impedance, photoelectrochemical cell, SILAR, thin film.
Introduction In recent years, many researchers have used
electrochemical impedance spectroscopy (EIS) to
explain the working of electrode, to examine the solar
cells for a photoelectric research of charge
transferring metal-doped fullerenes, for the study of
water splitting [1], and for the analysis of water
oxidation by photoelectrochemical investigations [2].
The interest in (photo) electrochemical analysis has increased due to the availability of sophisticated
instrumentation, such as electrochemical impedance
spectroscopy (EIS) [3, 4].
Although this, there are few reports on the
electrochemical analysis of chalcogenide
semiconductors. There is a great deal of interest in
research of chalcogenide semiconductors due to their
appropriate band gaps and high optical absorption
coefficients for potential application in thin film solar
cells. Chalcogenide based semiconductors such as
CdTe and Cu(In,Ga)Se2 are alternatives to Silicon in
thin film solar cells [4, 6]. CdTe have toxic Cd [7, 8], and Cu(In,Ga)Se2 have costly In and Ga [9], so much
awareness has been given to more abundant and
lower toxicity materials for thin film solar cells. The
copper based multinary compound semiconductor
materials are used as absorber materials in
photovoltaic technology. Cu2ZnSnS4 (CZTS) has
been regard as as the alternative absorber layer to
Cu(In,Ga)Se2 due to its earth abundant and eco-
friendly ingredients, optimal direct band gap of
1.45eV and high absorption coefficient in the visible
range [10, 11]. But, compositional control and
growth of single phase CZTS films are quite difficult process. The control of composition and phase
structure in Cu2SnS3 compound is more convenient
due to its fewer elements compared with CZTS.
Ternary semiconductors such as Cu-Sn-S (CTS)
belonging to I-IV-VI groups are preferred as
excellent absorber material due to high absorption
coefficient (>104 cm−1) and small band gap (0.9 to 1.5
eV) for photovoltaic cells, and as a suitable candidate
for nonlinear optical materials [12]. It is a p-type
semiconductor with band gap and optical absorption
coefficient similar to that of CZTS material which is currently being comprehensively studied in the
photoelectronic field. The Cu2SnS3 has been
synthesized by various chemical methods such as
chemical bath deposition (CBD) [13], spin coating
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[14], hydrothermal [15], electrodeposition [16],
successive ionic layer adsorption and reaction
(SILAR) [17], spray pyrolysis [18], hot injection
[19], solvothermal [20] etc.
Compared to other chemicals methods, SILAR is a
simple, less expensive and less time consuming
method for the deposition of semiconducting thin
films. It is also significant in the deposition of large
area thin films. In SILAR method, substrate is
sequentially dipped into the precursor solution during
the deposition process. Sufficient reaction time favors
the complete chemical reaction and hence produces
pure phase compounds without secondary phases. In
this method, deposition cycles and dipping time are key parameters for synthesis of nanoparticles to
covering films.
Based on previous work we identify that CTS
photoanode is excellent absorber material and
suitable candidate for nonlinear optical materials.
Thus, in present paper, we report the results of an EIS
study, which carried out to examine the carrier
transport properties, to determine the equivalent
circuit parameters and to analyze the performance of
the PEC cell. The current-voltage (I-V)
characteristics of PEC cell used to find out cell efficiency. Mott-Schottky plot was used to determine
flat band potential and charge carrier density of CTS
photoelectrode.
Experimental details The chemical approach apply to synthesize CTS thin
films the mixed solution of copper sulphate
(CuSO4.2H2O), tin chloride (SnCl2.2H2O) and
Triethanolamine (TEA) is utilize as the cationic precursor and sodium sulphide (Na2S.xH2O) solution
is utilize as an anionic precursor. CTS film is
deposited on conducting oxide i.e. indium doped tin
oxide (ITO) substrate. The substrate is ultrasonically
cleaned in double distilled water (DDW) for 15
minutes and then washed by acetone. In deposition
process of Cu2SnS3, TEA solution is used as a
complexing agent who binds metal cation in the
solution. The molar concentrations of CuSO4.2H2O,
SnCl2.2H2O and Na2S.xH2O in the solution are 0.2,
0.1 and 0.3 M, respectively. In the SILAR method, the substrate is immersed into separate cationic and
anionic precursor solutions for the adsorption and
reaction, and then rinsed with DDW after each
immersion to remove the loosely bound particles and
to avoid the precipitation. By repeating the cycle
described above, CTS thin film with the desired
thickness is obtained by adjusting the preparative
parameters. These films are annealed at 300 °C in a
vacuum to improve the crystallinity. The CTS films
are well adherent, uniform and blackish in color.
Materials characterization To investigate the characteristic parameters of the
CTS thin films by XRD (X-ray diffraction), EDAX
(Energy dispersive X-ray spectroscopy), XPS (X-ray
photoelectron spectroscopy), FE-SEM (field effect
scanning electron microscopy), optical absorption, Mott-Schottky, Electrochemical Impedance
spectroscopy (EIS), and current-voltage plot of PEC
cell characterization techniques is used. The XRD
patterns is recorded by a BRUKER AXS D8
Advanced model X-ray diffractometer equipped with
Cu radiation (Kα of λ= 1.54 Ǻ). The XPS analysis is
studied by using VG Multilab 2000, Thermo VG
Scientific, UK, for state confirmation of CTS
material. The morphology of the samples is analyzed
by FE-SEM (JEOL JSM-6390). Optical band gap is
determined by the UV-Visible absorption
spectroscopy analysis carried out by a (UV- 1800 Shimadzu) spectrometer. I-V characteristics of the
PEC cell were examined using a Princeton Applied
Research Potentiostat (273A) with a CTS electrode as
the working electrode. Mott- Schottky plot and EIS
study in dark and under illumination conditions was
carried out with an electrochemical workstation
model Zive-5. Zman software was used to model the
equivalent circuit from EIS.
Results and discussion Structural study Fig. 1 confirms phase formation of Cu2SnS3 material
by X-ray diffraction (XRD) pattern. After annealing
the films at 3000C in vacuum, all of the diffraction
peaks were in good match with the standard pattern
of triclinic CTS (JCPDS No.: 27-0198) observed in
Fig. 1. This annealing process increased the peak
intensities and sharpness. XRD pattern shows
remarkable texture growth along (-2 0 10) plane at 2θ
= 47.180, as evidenced by JCPDS data file card [027–0198]. In addition to few other peaks at (-2 -1 1), (-2
0 6), (-3 -2 10) and (-4 0 12) planes at 2θ = 28.360,
32.820, 55.970 and 69.010 respectively. The XRD
pattern shows good matching between observed and
standard interplanar spacing (d) values with triclinic
crystal structure. Inter planar distances (d) of the
planes, were calculated using Bragg's diffraction
condition [21]. Calculated d values are shown in
Table 1, which is comparable with standard JCPDS
data. Crystalline grain sizes (D) of the films were
evaluated using Debye–Scherrer formula [22]
D=0.9𝜆
𝛽𝐶𝑜𝑠𝜃 (1)
Where K is the shape factor taken equal to 0.9, λ is
the wavelength of the X-ray used, β is the full width
at half maximum of the peak and θ is the Bragg angle
that corresponds to the peak analyzed. The
differences between the relative X-ray diffraction
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intensities of the samples and standard JCPDS data
show a preferential orientation, which can be
evaluated considering the texture coefficient (Tc).
The texture coefficients of the CTS thin films were
calculated using the equation
Tc(hkl) = I(hkl ) / I0(hkl )
1
𝑁 Ʃ I(hkl ) /I0(hkl )
(2)
Where, I is measured intensity, I0 is JCPDS standard
intensity, N is the reflection number. For randomly
orientated materials, Tc values of all the planes are approximately 1.While the larger values of Tc show
preferential orientation, smaller values show lack of
grains orientated in that direction [23]. Calculated Tc
values of CTS thin films are shown in Table 1. No
one secondary phase is observed within CTS
formation by using SILAR method.
Fig. 1 XRD pattern of CTS thin film.
Table 1 Standard and calculated interplanar distances
with texture coefficient values of CTS thin film
calculated from XRD Plot.
X-ray photoelectron spectroscopy (XPS) The XPS is surface receptive quantitative
spectroscopic system that measures the elemental
composition, electronic state, chemical state and
empirical formula of the elements that available
within the material. The XPS survey spectrum of
CTS thin film is shown in Fig. 2 (A). From XPS
spectroscopy, it is obvious that CTS material consists
of the Cu1+, Sn4+ and S2- elements with the
quantification of Cu2p, Sn3d and S2p core levels
peaks, respectively [24]. The Cu2p, Sn3d and S2p
core-level photoelectron spectra with the appropriate
profile for quantitative elemental composition
determination are shown in Fig. 2 (B), (C) and (D),
respectively. The binding energy of Cu 2p3/2 and Cu 2p1/2 peaks are 932.77 and 952.50 eV, respectively
[25]. The satellite peaks does not observed around
932 and 955 eV at Cu2p core level, which correspond
to the existence of copper is Cu1+ state in CTS
material [26]. The binding energies for Sn 3d5/ 2, Sn
3d3/2 and S 2p3/2 are 487.15, 495.61 and 163.36 eV,
respectively, which match well with the earlier
reports [27]. The XPS studies authenticate that
presence of Cu and Sn in +1 and +4 oxidation states,
respectively.
Fig. 2 X-ray photoelectron spectra of CTS material.
(A) Survey spectrum, (B) Cu 2p core level, (C) Sn 3d
core level and (D) S 2p core level.
FE-SEM Analysis:
Fig. 3 (A) & (B) shows FE-SEM images of CTS
films at 15,000 and 20,000X magnifications. Fig.
3(A) shows a uniform distribution of agglomerated nanocrystals i.e. it shows the complete crystal growth
over the entire surface of substrate. It shows evidence
of appreciable grain formation. The grain formation
is seen in Fig. 3(B).The uniform density, adhesion to
the substrate and compact nature of the film is
observed. It is observed that the film is homogeneous
and have dense microstructures. The film surface
looks smooth and uniform. It is well clear from the
micrographs that the particles are spherical and
adherent. It can be seen that these spherical grains are
uniformly distributed to cover the surface of the
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substrate completely. In Fig. 3(B) indicate that CTS
film is composed of a dense packing of grains with
small voids, signifying uniformity of thin film
surface. A close assessment of the figures showing
that, the nature of the grains of deposited material has
a less porous nature with clusters, which consist of extremely small spherical grains, annealing at 300 0C
for an hour in vacuum, changed the nature of the
grains considerably. Also, a small crystallites growth
on compact surface is observed. Salgam et al [28]. It
is also seen that the number of bulky small grains
overlapped and combined together to form relatively
immense islands of CTS material. This type of
surface arrangement is due to the particularly small
dimensions and elevated surface energy.
Fig. 3 FESEM images of CTS-thin film at two
magnifications of (A) 15,000X and (B) 20,000X.
Optical properties: UV–visible spectra The optical absorption spectra of SILAR deposited
CTS thin film has been carry out at room temperature
from 300 to 900 nm wavelength is shown in Fig. 4.
The nature of optical shift and the value of the optical
band gap of the material can be determined using
optical absorption measurements. The CTS thin films
show wide absorption range and the covers almost
whole visible region is shown in inset of Fig.4. These
spectra revealed that the deposited CTS thin films
have high absorbance of light in the visible region,
indicating its applicability as an absorbing material in industries such as solar cell windows layer. The CTS
thin film has high absorption in the visible region
with a hump at 500 nm, which is close to the
effective band gaps of CTS thin film, making it a
good light absorbing material. The optical band gap
spectrum was plotted from the absorption spectrum.
The observed results of the film gives the indication
of samples shows nearly sharp absorption variation
around 500 nm. The optical band gap is evaluated
using the Tauc relation [29].
hυ = A(hυ - Eg)n (3)
Where, A is a constant which is associated to the effective masses allied with the valence and
conduction bands and, n depends on the nature of
transition which is identical to 1/2 for direct
transition and 2 for indirect transition. Fig. 4 shows
the linear variation of (αhυ) 2 versus (hυ), which
indicates that the material has a direct optical band
gap [30]. It is clear from the figures that optical
absorption coefficients of the films are high (~104
cm−1). The band gaps of the CTS thin films were
found to be 1.56 eV. The band gap showed a good
match with the optimal band gap for a solar cell, indicating CTS to be a capable material for thin film
solar cell applications.
Fig. 4 Band gap plot of CTS thin film. The inset in
Fig. 4 shows optical absorption spectra.
I-V Characteristics of PEC Cells
The photoelectrochemical (PEC) responses of CTS
thin film in wide potential range of 0.6 to -0.6 V
under dark and light (chopped illumination) are
observed in Fig. 5. The photovoltaic output
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characteristics of CTS thin films are studied by
fabricating ITO/CTS/LiClO4/graphite Cell. The
solid-liquid junction for the PEC cell was formed
with the CTS electrode as the photoelectrode and
0.25 M LiClO4 (Lithium per chlorate) solution as the
electrolyte. A graphite bar was employ as the counter electrode in the cell. The current-voltage curve in a
dark state specifies a usual electrochromic response
of the CTS film due to the intercalation/
deintercalation of electrons. The current-voltage
curve in light (chopped illumination) exhibit that the
PEC response in progress to come insight the
potential range above -0.1 V is observed in Fig. 5
(B). It is well-known that the electrochromic reaction
mainly occurs at the interfaces between the working
electrode and the electrolyte. This in turn indicates
that the amount of the electrochemical reaction sites
of the CTS electrode may be evaluated by comparing current densities of the electrochromic reaction. The
PEC cell with the configuration, CTS| 0.2 M LiClO4|
graphite, was illuminated with a light of intensity 50
mW/cm2. The electrochromic current density versus
voltage curves CTS thin films is observed in Fig. 5
(A). The current density is increased under
illumination, which leading to extremely improved
electrochemical reaction sites for the CTS electrode.
The CTS semiconductor absorbs the photons with
energy equal to or greater than the band gap energy
of CTS. This causes the creation of electron-hole pairs in the depletion region and in the diffusion layer
(e- + h+). They are constraining apart by the electric
field at the edge. Electrons are drifted towards
semiconductor surface, while holes are drifted
towards bulk semiconductor from depletion region.
The photocurrent can be effectively increased due to
the development of a depletion layer and decreased
recombination centers [31]. Improved
electrochemical reaction sites are observed due to the
superior crystallinity of the film with better crystallite
size, as shown in Fig. 5. The PEC cell parameters,
such as short circuit current (Isc), open circuit voltage (Voc), maximum current (Im), maximum voltage
(Vm), were estimated for the active surface area of
1cm2 and light intensity of 50 mW/cm2 for CTS thin
films is shown in inset of Fig. 5(A) The highest
values of photo conversion efficiency 0.11% with fill
factor of 30 % are achieved by CTS thin film. As
argue in XRD and FE-SEM, a good crystalinity and
homogeneous, compact morphology reduces the
constraints of the grain boundary to construct an
easier pathway for the flow of current and by elevate
the electron diffusion length for superior photochemistry.
Fig. 5 (A) Current- voltage characteristics of the CTS
thin film and (B) shows the CTS thin films under
chopped illumination.
Electrochemical Impedance Spectroscopy (EIS)
Study of PEC Cell
Electrochemical impedance spectroscopy (EIS) has
been calculated by applying an AC potential to an
electrochemical cell and then calculate the current throughout the cell. The impedance has information
related to the phase difference, which refers to the
angle by which the current leads the voltage [32].
The impedance is a vector, describe by the phase
angle α, which can be resolved into two components.
The impedance factor in phase with the cell voltage is
describing the real part (Zreal) and the impedance
factor at 90° to the cell voltage is describing the
imaginary part (Zimag.). Determination of impedance
Z as a function of the frequency and then resolve it
into Zreal and Zimag is the method of studying the
impedance of an electrochemical circuit. These magnitudes were plotted by using two techniques i.e.
Bode plot and Nyquist Plot [33]. A plot of Zreal Vs.
Zimag for the equivalent frequency is known as the
Nyquist plot. Each point on the resulting diagram is
made up of a Z resolved in two components
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measured at a selected frequency. Each point on the
Nyquist plot corresponds to impedance at one
frequency. There may be such 20 - 30 points each at
different frequencies.
Nyquist plots EIS is an analytical instrument for study the
photovoltaic performance of PEC cell and investigate
the changes that occur during illumination with 50
mW/cm2. Frequency dependent electrochemical
measurements of CTS thin film electrode under dark
and illumination have been carried out at room
temperature. EIS is measured in the two-electrode
method recording impedance plots include the
response of the counter electrode as well as the
photoanode. Generally, impedance data were
differentiating in the complex-plane impedance
called Nyquist diagram. The Nyquist plots for under dark and illumination of CTS thin film is revealed in
Fig. 6(A). Inset Fig. 6(A) shows the equivalent
circuit and Table 2 summarizes the equivalent circuit
parameters gained by best fitting the impedance data.
The equivalent circuit elements consist of Rs, R1,
Q1, R2 and Q2. The high frequency (corresponding
to low Z‟) intercept on the real axis (i.e., Z‟axis)
signifying the series resistance (Rs). Rs are the ohmic
series resistance of the electrode system which
provide to the electrical contact of the electrode-
electrolyte and resistivity of electrolyte solution. R1 represents the charge transfer resistance and Q1 is the
double layer capacitance at the electrode-electrolyte
interface. R2 and Q2 represents recombination charge
transfer resistance and chemical capacitance at the
electrode-electrolyte interface.
The half circle in high frequency range is resulted
from the charge transfer resistance (Rct) and the
equivalent constant phase angle element (CPE) at the
electrolyte-electrode edge. Rs values for CTS thin
film electrodes are in the range of ohms and decrease
it after illuminate the film. It is seen from Table 2
that as, under illumination, Rs decreases of from 3.72 to 1.09 Ω. The large Rs of CTS thin film under dark
condition can be attributed to the presence of natural
ligand on the CTS surface. The Rs element is related
with a high frequency response, which illustrate
minor variation after illumination, signifying that it is
independent of illumination. After illumination the
CTS electrode, film exhibited the smallest Rct and
CPE, signifying a superior catalytic movement and
bulky surface areas. The smallest charge transfer
resistance (Rct) of 37.83 Ω is observed for CTS thin
electrode indicating fast electron diffusion process under illumination. Lower Rct of the CTS electrode
expected relatively high electrical conductivity
suggesting more quick charge transfer reaction for
Li+ addition/extraction happens at the interface [34].
From Fig. 6 (A), CTS films have a single semicircle
indicating the single relaxation process (relaxation
time). The Rct value of CTS electrode under
illumination condition in aqueous electrolyte shows
lower as compared to the Rct of CTS film under dark
condition, because of Li+ ions in the 0.25M LiClO4 electrolyte plays an important role for long lifetime
of the electron [35]. The reduction in Q1 after
illumination condition of CTS electrode is
confirmation for a uniform distribution of current
through bulk electrode. While, the raise in Q2 shows
the increase in the accumulation of charges at the
interfacial region, which may be due to the chemical
capacitance of the surface trap states that are
available due to the compact nature of the film [36].
The EIS results agreed well with the photocurrent-
voltage experiments. Therefore, it is concluded that
for higher photocurrent generation, suitable electrolyte should be selected.
Bode plot
Bode phase plot provide the information of electron
life period inside the electrode-electrolyte transition.
Bode plot is nothing but phase angle against the
logarithmic frequency (log f) is observed in Fig. 6
(B). After illuminating CTS thin electrode, the phase
angles shifted to higher values (shown in Table 2)
due to the crystalinity, average grain size and surface
compactness of the electrode. The phase angle of CTS thin film under dark condition is -3.650 less than
that for the CTS thin electrode under illumination (-
2.440), shows the superior electrochemical behavior.
Bode magnitude plot exhibit that the resistance of
CTS electrode films sharply drop off in higher
frequency region, indicate distinct change in slope
with increase the conductivity [37].
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Fig. 6 (A) Nyquist plot for electrochemical
impedance study of a PEC cell under dark and
illuminated conditions (Inset in Fig. 5 shows the
equivalent circuit of the PEC cell) and (B) shows the
Bode plot of CTS electrode in dark and under
illumination.
Table 2 Equivalent circuit parameters for EIS
analysis under dark and light conditions.
Capacitance-Voltage (C-V) Characteristics Study
by Mott- Schottky plot
The calculation of capacitance as a function of
applied voltage is observed by using Mott-Schottky
plot. The Mott- Schottky plot exposed a non-linear
relation, as represent in Fig. 7.The capacitance-voltage (C-V) characteristics of the PEC cell were
studied in the dark. The ionic adsorption, surface
roughness and non-planar interfaces on the surface of
working electrode are the probable basis for the non-
linear activities of the plot [38]. The Mott- Schottky
plot provides useful information on the
photoelectrode such as the type of conductivity,
carrier concentration (Nd) and flat band potential
(Vfb). The electrode potential Vfb, at which the band
bending is zero, was 0.62 V and carrier density was
1.18 x 1022 per cm3. The capacitance-voltage (C-V)
measurements of CTS film electrode are carried out at the interface of electrode-electrolyte at the fixed
frequency of 1 kHz in bias sweep from 0 - 0.8
V/SCE. The Mott-Schottky plots for CTS film
electrodes are shown in Fig. 8. From the Mott-
Schottky plots (1/ C2 vs. V), the best fitted straight
line gives the slope of curves. A slope with negative
photocurrent for CTS film proves the p-type
electrical conductivity of CTS electrodes [39]. For
PEC cell measurement, flat band potential (Vfb) is
significant physical parameter to study the transfer of
charge carriers at the boundary of semiconductor
electrode and electrolyte. The flat band potentials of
CTS semiconductor electrode are estimated from Mott-Schottky plot by extrapolating the curves to the
intercept with 1/C2 = 0. The value of Vfb observed in
positive side is probably due to the electronic
structure of the CTS thin film [40]. The capacitance
in the Mott-Schottky plot to the applied voltage is
associated to capacitance of space charge layer and
capacitance of double layer. The suitable Vfb and
donor concentration shows the better ability of the
CTS electrode to easier transfer of charge carrier at
the interface of electrode to electrolyte [41]. From
Fig. 7, „graded type‟ junction is observed due to the
nonlinear nature of Mott Schottky plot which attributed to the occurrence of “shallow” as well as
“deep” donor stages (density of interface state) [42].
Fig. 7 Mott-Schottky plot for the capacitance-
voltage characteristics study of PEC cell.
Conclusion
CTS thin film has been successfully deposited on
ITO conducting substrate by SILAR method. The
electrochemical impedance properties of CTS thin
films are studied by using EIS technique. X-ray
diffraction patterns confirm the formation of
nanocrystalline structure with triclinic CTS phase.
The XPS confirms presence of Cu and Sn in +1 and +4 oxidation states, respectively. Field emission
scanning electron microscopy analysis reveals that
CTS thin film has uniform morphology with
spherical grains. The photoelectrochemical
measurement exhibits that CTS film electrode shows
a power conversion efficiency of 0.11% with large
photocurrent. Electrochemical analysis reveals that
the CTS films under illumination shows lower charge
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transfer resistance which effectively reduces the
relaxation time and take action to fast
electrochemical route. Mott-Schottky plot make
known that the suitable Vfb and donor concentration
shows the better ability of the CTS electrode to easier
transfer of charge carrier at the electrode-electrolyte interface.
Acknowledgement
Present work was supported by the Human Resources
Development program (No.20124010203180) of
Korea Institute of Energy Technology Evaluation and
Planning (KETEP) Grant funded by the Korea
government Ministry. The basic Science Research
Program through the National Research Foundation
of Korea (NRF) funded by the Ministry of Science,
ICT (NRF2015R1A2A2A01006856).
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